Question

At a science competition, 25 problems were given. Each correct answer earned 4 points, and 2 points were deducted for each incorrect answer. No points were deducted for any unanswered problem. Logan answered all but one of the problems, receiving a score of 66. How many correct answers did Logan have?

Answer 1

please help i will give a medal

Answer 2

please help

Answer 3

So Logan answered 24 problems

Answer 4

yes

Answer 5

now we have to tell how many correct he answered

Answer 6

Out of 24 problems that he answered,
`x` problems were correct
and `y` problems wrong

Answer 7

yeah

Answer 8

do u know how many

Answer 9

at last he got 66 points

Answer 10

can we setup below equations :

x + y = 24
4x-2y = 66

?

Answer 11

how to do that

Answer 12

he answered 24 problems so the maximum score he should get is 94 because 24 x 4 is 96

Answer 13

let me give u a medal first u gave time and i am really thankfull to u

Answer 14

you're right,
solve above equations, "x" is the number of correct answers

Answer 15

can u solve that for me i am weak in math thank u

Answer 16

x + y = 24
4x-2y = 66

from first equation, y = 24-x
plug that in second equaiton :
4x - 2(24-x) = 66
4x - 48 + 2x = 66
6x = 114
x = 19

Answer 17

trying them on your own makes you strong :)

Answer 18

thank u a lot

Answer 19

i dont know what to say you are the best person i have seen in world

Answer 20

you're welcome !

so he answered 19 questions correctly, 5 questions incorrectly, and 1 question left

Answer 21

okay thank u a lot

Answer 22

19*4 = 76
5*2 = 10

so his overall score is 76-10 = 66 as it should be, so we're good

Answer 23

do u remember a member named The.Great.Stupid.PErson

Answer 24

@ganeshie8 do u remember a member whose name was The.Great.Stupid.Person